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Finding the Fourth Proportional to 11,447.62, 15,795.87 and 6,412.05

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Solution

The fourth proportional to 11,447.62, 15,795.87 and 6,412.05 is: 8,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.62 : 15,795.87 = 6,412.05 : x
  2. Step 2: Convert to fraction form
    11,447.62/15,795.87 = 6,412.05/x
  3. Step 3: Cross multiply
    11,447.62x = 15,795.87 × 6,412.05
  4. Step 4: Simplify right side
    11,447.62x = 101,283,907.06
  5. Step 5: Solve for x
    x = 101,283,907.06/11,447.62
  6. Step 6: Final answer
    x = 8,847.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.